A270578 The number of distinct planes defined by an n X n X n grid of points.
20, 491, 7502, 52013, 297464, 1119791, 3900890, 11135201, 29329232
Offset: 2
Examples
The 8 points of the 2 X 2 X 2 grid define 20 planes: the 6 faces of the cube, 6 planes formed by an edge and its opposite edge, and 8 planes defined by the three vertices surrounding a given vertex. So, a(2)=20.